Analysis of Hamiltonian Boundary Value Methods (HB- VMs)

Solving the nonlinear Schrödinger equation using energy conserving Hamiltonian boundary value methods

10.1063/1.4992336 ◽

2017 ◽

Cited By ~ 1

Author(s):

L. Barletti ◽

L. Brugnano ◽

G. Frasca Caccia ◽

F. Iavernaro

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Boundary Value ◽

Nonlinear Schrodinger Equation ◽

Boundary Value Methods ◽

Nonlinear Schrödinger ◽

Hamiltonian Boundary Value Methods ◽

Energy Conserving

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Reprint of Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.10.015 ◽

2015 ◽

Vol 21 (1-3) ◽

pp. 34-51

Author(s):

Luigi Brugnano ◽

Felice Iavernaro ◽

Donato Trigiante

Keyword(s):

Numerical Solution ◽

Hamiltonian Systems ◽

Boundary Value ◽

Boundary Value Methods ◽

Hamiltonian Boundary Value Methods ◽

Runge Kutta

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Efficient implementation of Gauss collocation and Hamiltonian boundary value methods

Numerical Algorithms ◽

10.1007/s11075-014-9825-0 ◽

2014 ◽

Vol 65 (3) ◽

pp. 633-650 ◽

Cited By ~ 32

Author(s):

Luigi Brugnano ◽

Gianluca Frasca Caccia ◽

Felice Iavernaro

Keyword(s):

Boundary Value ◽

Efficient Implementation ◽

Boundary Value Methods ◽

Hamiltonian Boundary Value Methods

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Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems

Numerical Algorithms ◽

10.1007/s11075-019-00733-7 ◽

2019 ◽

Vol 83 (4) ◽

pp. 1489-1508 ◽

Cited By ~ 2

Author(s):

Pierluigi Amodio ◽

Luigi Brugnano ◽

Felice Iavernaro

Keyword(s):

Numerical Solution ◽

Boundary Value ◽

Boundary Value Methods ◽

Hamiltonian Boundary Value Methods

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Energy-conserving Hamiltonian Boundary Value Methods for the numerical solution of the Korteweg–de Vries equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.10.014 ◽

2019 ◽

Vol 351 ◽

pp. 117-135 ◽

Cited By ~ 6

Author(s):

Luigi Brugnano ◽

Gianmarco Gurioli ◽

Yajuan Sun

Keyword(s):

Numerical Solution ◽

Vries Equation ◽

Boundary Value ◽

Boundary Value Methods ◽

Hamiltonian Boundary Value Methods ◽

De Vries ◽

Energy Conserving

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A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2017.12.018 ◽

2018 ◽

Vol 60 ◽

pp. 33-49 ◽

Cited By ~ 21

Author(s):

Luigi Brugnano ◽

Chengjian Zhang ◽

Dongfang Li

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Wave Operator ◽

Schrodinger Equation ◽

Boundary Value ◽

Nonlinear Schrodinger Equation ◽

Boundary Value Methods ◽

Nonlinear Schrödinger ◽

Hamiltonian Boundary Value Methods ◽

Energy Conserving

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A note on the continuous-stage Runge–Kutta(–Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs)

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124634 ◽

2019 ◽

Vol 363 ◽

pp. 124634

Author(s):

Pierluigi Amodio ◽

Luigi Brugnano ◽

Felice Iavernaro

Keyword(s):

Boundary Value ◽

Boundary Value Methods ◽

Hamiltonian Boundary Value Methods ◽

Runge Kutta

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